Correlation energy, pair-distribution functions and static structure factors of jellium

  title={Correlation energy, pair-distribution functions and static structure factors of jellium},
  author={Paola Gori-Giorgi and F Sacchetti and Giovanni B. Bachelet},
  journal={Physica A-statistical Mechanics and Its Applications},
3 Citations
Pair distribution function of the spin-polarized electron gas: A first-principles analytic model for all uniform densities
We construct analytic formulas that represent the coupling-constant-averaged pair distribution function g x c (r s ,ζ,k F u) of a three-dimensional nonrelativistic ground-state electron gas
The electron‐gas pair density and its geminal representation II. The long‐range asymptotics of the Kimball–Overhauser geminals
In part I [phys. stat. sol. (b) 241, 3544 (2004)] it has been shown, for the homogeneous electron gas, how the momentum distribution n(k) determines the geminal occupancy μ(k), which appears in the
The high‐density electron gas: How momentum distribution n (k) and static structure factor S(q) are mutually related through the off‐shell self‐energy Σ (k, ω)
For the spin‐unpolarized uniform electron gas, rigorous theorems are used (Migdal, Galitskii‐Migdal, Hellmann‐Feynman) which allow the calculation of the pair density, g(r), or equivalently its


The pair distribution function, in the limit of zero separation, of an interacting electron gas at high and metallic densities is investigated by many-body perturbation theory. It is shown that the
Inequalities for frequency-moment sum rules of electron liquids.
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    Physical review. A, General physics
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The relations between the various frequency-moment sum rules of electron liquids, which include even-power moments, are systematically examined by using the Cauchy-Schwarz and H\"older inequalities.
Zero Temperature Phases of the Electron Gas
The stability of different phases of the three-dimensional nonrelativistic electron gas is analyzed using stochastic methods. With decreasing density, we observe a {ital continuous} transition from
Quantum Monte Carlo Calculations of the Energy of the Relativistic Homogeneous Electron Gas.
S. D. Kenny,1 G. Rajagopal,1 R. J. Needs,1 W.-K. Leung,1 M. J. Godfrey,2 A. J. Williamson,1 and W. M. C. Foulkes3 1Cavendish Laboratory, Madingley Road, Cambridge CB3 0HE, United Kingdom 2Department
The theory of quantum liquids
* Introduction * Experimental and Theoretical Background on He II. * Elementary Excitations * Elementary Excitations in He II * Superfulid Behavior: Response to a Transverse Probe. Qualitative
Pair-distribution function and its coupling-constant average for the spin-polarized electron gas.
  • Perdew, Wang
  • Physics
    Physical review. B, Condensed matter
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An analytic representation of g\ifmmode\bar\else\textasciimacron\fi{} (and hence g) in real space for a uniform electron gas with density parameter ${\mathit{r}$ and spin polarization \ensuremath{\zeta}.
Generalized gradient approximation for the exchange-correlation hole of a many-electron system.
  • Perdew, Burke, Wang
  • Materials Science, Mathematics
    Physical review. B, Condensed matter
  • 1996
The hole model provides a more detailed test of these energy functionals, and also predicts the observable electron-electron structure factor.